The parallel implementation of the waveform relaxation method for transient stability simulations

IEEE Transactions on Power Systems

Volumn 5, Issue 3, 1990, Pages 922-932

  Ilic, M ^b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

preserving differential algebraic systems; Waveform relaxation Parallel processing Transient stability analysis Structure

Indexed keywords

COMPUTER PROGRAMMING--ALGORITHMS; MATHEMATICAL TECHNIQUES; SYSTEM STABILITY--TRANSIENTS;

TEXTURED MODEL APPROACH; WAVEFORM RELAXATION METHOD; WR (WAVEFORM RELAXATION) ALGORITHM;

ELECTRIC POWER SYSTEMS;

EID: 0025468440     PISSN: 08858950     EISSN: 15580679     Source Type: Journal    
DOI: 10.1109/59.65922     Document Type: Article

References (24)

1. L. O. Chua, P. Lin, Computer Aided Analysis of Electronic Circuits: Algorithms and Computational Techniques, Prentice—Hall, Inc., Englewood Cliffs, New Jersey, 1975.
2. J. Chow, ed., Time Scale Modeling of Dynamic Networks with Applications to Power Systems, Springer—Verlag, New York, 1982.
3. M. L. Crow, M. Ilić, J. White, “Convergence properties of the waveform relaxation method as applied to electric power systems”, Proceedings of the 1989 IEEE Int'l Symp. on Circuits and Systems, Portland, OR, May 1989.
4. M. L. Crow, “Waveform Relaxation Methods for the simulation of systems of differential/algebraic equations with power system transient stability applications”, Ph.D. dissertation, University of Illinois, Urbana, IL, 1990.
5. S. Fujita, T. Fukao, “Large-scale power system simulation by asynchronous parallel Newton's methods,” presented at the SIAM Annual Meeting, Seattle, WA, March 1980.
6. C. W. Gear, Numerical Initial Value Problems in Ordinary Differential Equations, Prentice—Hall, Inc., Englewood Cliffs, New Jersey, 1971.
7. H. H. Happ, C. Pottle, K. A. Wirgau, “Future computer technology for large power system simulation,” Automatica, vol. 15, no. 6, November 1979.
8. K. Hwang, F. A. Briggs, Computer architecture and Parallel Processing, McGraw—Hill Book Co., New York, New York, 1984.
9. M. Ilić-Spong, M. L. Crow, M. A. Pai, “Transient Stability Simulation by Waveform Relaxation Methods,” IEEE Transactions of Power Systems, vol. PWRS-2, no. 4, November 1987.
10. M.Ilić-Spong, M. W. Spong, R. Fischl, “The no-gain theorem and localized response for the decoupled P- Θ power network with active power losses included”, IEEE Trans. on Circuits and Systems, vol. CAS-32, no. 2, pp. 170–177, Feb. 1985.
11. M. Ilić, W. Stobart, “Developments of a smart algorithm for voltage monitoring and control”, accepted for presentation at the 1990 PES Winter Meeting, Atlanta, Georgia.
12. M. La Scala, A. Bose, D. Tylavsky, J. S. Chai, “A highly parallel method for transient stability analysis,” Power Industry Applications Conference, Seattle, Washington, 1989.
13. E. Lelarasmee, “The waveform relaxation method for the time domain analysis of large scale nonlinear dynamical systems,” Ph.D. dissertation, University of California, Berkeley, California, 1982.
14. K. W. Lu, “A textured model and its uses in reactive power management and control”, Ph.D. dissertation, Washington University, St. Louis, MO, August 1984.
15. R. Mekrotia, S. N. Talukdar, “Task scheduling on multiprocessors for power system problems,” IEEE Conference Papers on the 1983 Power Industry Computer Application Conference - PICA-83, Houston, TX, May 1983.
16. R. Podmore, “Identification of coherent generators for dynamic equivalents,” IEEE Trans. of Power Apparatus and Systems, vol. PAS-97, pp. 1344–1354, 1978.
17. S. T. Y. Lee, F. C. Schweppe, “Distance measures and coherency recognition for transient stability equivalents”, IEE Trans. on Power Apparatus and Systems, PAS-93, no. 5, pp. 1550–1557, Sept./Oct. 1973.
18. A. L. Sangiovanni-Vincentelli, J. White, “Waveform relaxation techniques and their parallel implementation”, Proceedings of the 24th Conference on Decision and Control, Ft. Dec. 1985.
19. M. Takatoo, S. Abe, T. Bando, K. Hirasawa, M. Goto, T. Kato, T. Kanke, “Floating vector processor for power system simulation,” IEEE Trans. on Power Apparatus and Systems, vol. PAS-104, no. 12, Dec. 1985.
20. S. N. Talukdar, S. S. Pyo, T. C. Giras, “Asynchronous procedures for parallel processing,” IEEE Conference Papers on the 1983 Power Industry Computer Application Conference - PICA-83, Houston, TX, May 1983.
21. J. K. White, A. Sangiovanni-Vincentelli, Relaxation Techniques for the Simulation of VLSI Circuits, Kluwer Academic Publishers, Boston, MA, 1987.
22. R. S. Varga, Matrix Iterative Analysis, Prentice—Hall, Inc., Englewood Cliffs, New Jersey, 1962.
23. J. Van Ness, G. Molina, “The use of multiple factoring in the parallel solution of algebraic equations,” IEEE Conference Papers on the 1983 Power Industry Computer Application Conference - PICA-83, Houston, TX, May 1983.
24. J. Zaborsky, G. Huang, K. W. Lu, “A textured model for computationally efficient reactive power control and management”, IEEE Trans. on Power Apparatus and Systems, vol. PAS-104, no. 7, pp. 1718–1727, July 1985.